From now on, class outlines will only be posted
on Canvas.
From now on, class outlines will only be posted
on Canvas.
9/4/24: Introduction. Syllabus handed out. What we will study in
Analysis and why. Some fun examples, such as 1+2+3+... . Peano's
axioms for the natural
numbers. [Syllabus Class
notes. Tao: Chapter 1. Chapter 2 through 2.1.15]
9/9/24: Recursive definitions. Addition and multiplication of the naturals. [Class
notes. Tao: Chapter 2 through the end]
9/11/24: Russells' paradox. Cardinality. [Class notes. Tao:
Sections 3.2, 3.6]
9/16/24: The integers and rationals. [Class notes. Tao:
Sections 4.1-4.2]
9/18/24: Absolute value and exponentiation. Gaps in the
rationals. [Class
notes. Tao: Sections 4.3-4.4]
9/23/24: Cauchy sequences. The real numbers: definition and
addition. [Class notes. Tao: Sections 5.1-5.3 through 5.3.8]
9/25/24: The real numbers: multplication, reciprocals,
ordering. [Class notes. Tao: Sections 5.3-5.4]
Last modified: (2024-09-25 01:32:41 CDT)